51438600 has 216 divisors, whose sum is σ = 187479630. Its totient is φ = 12595200.

The previous prime is 51438589. The next prime is 51438601. The reversal of 51438600 is 683415.

51438600 is a `hidden beast` number, since 51 + 4 + 3 + 8 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1397124 + 50041476 = 1182^2 + 7074^2 .

It is a super-3 number, since 3×51438600³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51438601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1254580 + ... + 1254620.

Almost surely, 2^51438600 is an apocalyptic number.

51438600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51438600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93739815).

51438600 is an abundant number, since it is smaller than the sum of its proper divisors (136041030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51438600 is a wasteful number, since it uses less digits than its factorization.

51438600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51438600 is about 7172.0708306597. The cubic root of 51438600 is about 371.9030270993.

The spelling of 51438600 in words is "fifty-one million, four hundred thirty-eight thousand, six hundred".